ArticleResults in physics2022
A fractional order model for the co-interaction of COVID-19 and Hepatitis B virus.
Article in Results in physics, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Impacts of optimal control strategies on the HBV and COVID-19 co-epidemic spreading dynamics.Scientific reports · 2024Article
- Analysis of HBV and COVID-19 Coinfection Model with Intervention Strategies.Computational and mathematical methods in medicine · 2023Article
- Fractal-fractional age-structure study of omicron SARS-CoV-2 variant transmission dynamics.Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters · 2022Article
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3 authors.
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Abstract
Fractional differential equations are beginning to gain widespread usage in modeling physical and biological processes. It is worth mentioning that the standard mathematical models of integer-order derivatives, including nonlinear models, do not constitute suitable framework in many cases. In this work, a mathematical model for COVID-19 and Hepatitis B Virus (HBV) co-interaction is developed and studied using the Atangana-Baleanu fractional derivative. The necessary conditions of the existence and uniqueness of the solution of the proposed model are studied. The local stability analysis is carried out when the reproduction number is less than one. Using well constructed Lyapunov functions, the disease free and endemic equilibria are proven to be globally asymptotically stable under certain conditions. Employing fixed point theory, the stability of the iterative scheme to approximate the solution of the model is discussed. The model is fitted to real data from the city of Wuhan, China, and important parameters relating to each disease and their co-infection, are estimated from the fitting. The approximate solutions of the model are compared using the integer and fractional order derivatives. The impact of the fractional derivative on the proposed model is also highlighted. The results proven in this paper illustrate that HBV and COVID-19 transmission rates can greatly impact the dynamics of the co-infection of both diseases. It is concluded that to control the co-circulation of both diseases in a population, efforts must be geared towards preventing incident infection with either or both diseases.
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